%I #5 May 13 2023 13:22:36
%S 1,1,1,1,2,7,40,355,4819,99242,3049155,138762035
%N Number of sequences of n distinct positive integers whose Gilbreath transform is (1, 1, ..., 1).
%e For n = 5, the a(5) = 7 sequences are:
%e (1, 2, 4, 6, 8),
%e (1, 2, 4, 6, 10),
%e (1, 2, 4, 8, 6),
%e (1, 2, 4, 8, 10),
%e (1, 2, 4, 8, 12),
%e (1, 2, 4, 8, 14),
%e (1, 2, 4, 8, 16).
%Y Cf. A080839 (increasing sequences), A363002 (nondecreasing sequences), A363003, A363005 (distinct integers).
%K nonn,more
%O 0,5
%A _Pontus von Brömssen_, May 13 2023